What is 684 percent of 1.045 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 1.045 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 1.045 is 100%, so we can write it down as 1.045=100%.
4. We know, that x is 684% of the output value, so we can write it down as x=684%.
5. Now we have two simple equations:
1) 1.045=100%
2) x=684%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
1.045/x=100%/684%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 684% of 1.045

1.045/x=100/684
(1.045/x)*x=(100/684)*x       - we multiply both sides of the equation by x
1.045=0.14619883040936*x       - we divide both sides of the equation by (0.14619883040936) to get x
1.045/0.14619883040936=x
7.1478=x
x=7.1478

now we have:
684% of 1.045=7.1478